How do you integrate #int -x^2/sqrt(144+x^2)dx# using trigonometric substitution?
Using Integration by Parts in first integral
Subst. back ,
#where , C'=1/2(c-ln12)#
The answer is
The integral is
Rewrite it as
Perform this integration by parts
Compute the first integral
Putting it alltogether
N.B.:- The above Soln. has been worked out using trigo.**
substn. as it was so expected. But the same can be dealt
with without using any substn. as shown in the Second Soln.
What I had in my mind as the second soln., Respected Narad T.
has solved it exactly in the same way, so, I think, there is
no need for my second soln.
However, I prefer to use the following Standard Integrals :